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Finding the Third Proportional to 295,409 and 446,633.50

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Solution

The third proportional to 295,409 and 446,633.50 is: 675,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,409 : 446,633.50 = 446,633.50 : x
  2. Step 2: Convert to fraction form
    295,409/446,633.50 = 446,633.50/x
  3. Step 3: Cross multiply
    295,409x = 446,633.50 × 446,633.50
  4. Step 4: Simplify right side
    295,409x = 199,481,483,322.25
  5. Step 5: Solve for x
    x = 199,481,483,322.25/295,409
  6. Step 6: Final answer
    x = 675,272.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.